STUDY OF DIFFERENCES BETWEEN REAL AND EFFECTIVE HEAT TRANSFER COEFFICIENTS TO PROVIDE CORRECT DATA ON TEMPERATURE FIELD CALCULATIONS AND COMPUTER SIMULATIONS DURING HARDENING OF STEEL

Nikolai Kobasko

Abstract


The paper analyses contemporary methods and probes for testing liquid media used as a quenchant in heat treating industry. It is shown that lumped-heat-capacity method, often used for testing liquid media, produces big errors during transient nucleate boiling processes due to incorrect calculation condition  caused by use effective heat transfer coefficient (HTC). The effective heat transfer coefficients (HTCs), utilized for this purpose, are almost seven times less as compared with real HTCs that results in incorrect calculation the value of Bi. Instead of lumped-heat -capacity method, a general cooling rate equation is proposed for HTC calculation. It is underlined that effective HTCs can be used only for approximate core cooling rate and core cooling time of steel parts calculations. For investigation cooling capacity of liquid quenchants, including initial heat flux densities, HTCs and critical heat flux densities, high developed technique of solving inverse problem should be used based on accurate experimental data generated by testing liquid media with the Liscic/Petrofer probe or other similar technique.


Keywords


lumped-heat-capacity method; incorrectness; effective HTC; real HTC; differences; probes; inverse problem

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References


Kondrat'ev, G. M. (1957). Teplovye Izmereniya [Thermal Measurements]. Moscow: Mashgiz, 245.

Kobasko, N. I. (1980). Steel Quenching in Liquid Media Under Pressure. Kyiv: Naukova Dumka, 206.

Kobasko, N. I., Aronov, M. A., Powell, J. A., Totten, G. E. (2010). Intensive Quenching System: Engineering and Design. ASTM International, 234. doi: 10.1520/mnl64-eb

Holman, J. P. (1976). Heat Transfer, McGraw-Hill Kogakusha. Tokyo, 97–98.

Narazaki, M., Kogawara, M., Shirayoshi, A., Fuchizawa, S. (1997). Proceedings of the 6th International Seminar of IFHTSE. Kyongju, Korea, 428–435.

Narazaki, M., Osawa, K., Shirayoshi, A., Fuchizawa, S. (1999). Influence of validity of heat transfer coefficients on simulation of quenching process of steel. Proceedings of the 19th ASM Heat Treating Society Conference. ASM International, Materials Park, OH, 600–607.

Narazaki, M. (1999). Evaluation methods for heat transfer coefficient in quenching. Proceedings of the 7th International Seminar of IFHTSE. Budapest, Hungari, 207–216.

French, H. J. (1930). The Quenching of Steels. American Society for Steel Treating. Cleveland, OH.

Liščić, B., Tensi, H. M., Luty, W. (Eds.) (1992). Theory and Technology of Quenching. Springer-Verlag, 484. doi: 10.1007/978-3-662-01596-4

Liščić, B. (2016). Measurement and Recording of Quenching Intensity in Workshop Conditions Based on Temperature Gradients. Materials Performance and Characterization, 5 (1), MPC20160007. doi: 10.1520/mpc20160007

Tolubinsky, V. I. (1980). Heat Transfer at Boiling. Kyiv: Naukova Dumka, 343.

Kobasko, N. I. (2012). Real and Effective Heat Transfer Coefficients (HTCs) Used for Computer Simulation of Transient Nucleate Boiling Processes during Quenching. Materials Performance and Characterization, 1 (1), MPC–2012–0012. doi: 10.1520/mpc-2012-0012

Liščić, B., Singer, S., Beitz, H. (2011). Dependence of the Heat Transfer Coefficient at Quenching on Diameter of Cylindrical Workpieces. 18th International Federation for Heat Treatment and Surface Engineering, 438–449. doi: 10.1520/stp49449t

Shekriladze, I. G. (2011). Boiling Heat Transfer: An Overview of Longstanding and New Challenges. Film and Nucleate Boiling Processes, 229–284. doi: 10.1520/stp49342t

Petrash, L. V. (1959). Zakalochnye Sredy [Quenchants]. Moscow: Mashgiz, 114.

Tikhonov, A. N., Arsenin, V. Ya. (1977). Solutions of Ill-Posed Problems. New York: Wiley Publishing House, 258.

Engl, H. W., Neubauer, A. (1985). Optimal Discrepancy Principles for the Tikh0n0v Regularization of Integral Equations of the First Kind. Constructive Methods for the Practical Treatment of Integral Equations, 120–141. doi: 10.1007/978-3-0348-9317-6_10

Kojdecki, M. A. (2000). New criterion of regularization parameter choice in Tikhonov method. Bulletin of the Military University of Technology, 49 (1), 47–126.

Ramm, A. G. (2005). Inverse Problems: Mathematical and Analytical Techniques with Applications to Engineering. Springer Science Publishing House, 442. doi: 10.1007/b100958

Bauer, F., Lukas, M. A. (2011). Comparingparameter choice methods for regularization of ill-posed problems. Mathematics and Computers in Simulation, 81 (9), 1795–1841. doi: 10.1016/j.matcom.2011.01.016

Morozov, V. A. (1984). Methods of Solving Incorrectly Posed Problems. Springer-Verlag Publishing House, 257. doi: 10.1007/978-1-4612-5280-1

Verlan, A. F., Sizikov, V. S. (1986). Integral Equations: Methods, Algorithms, Computer Program. Kyiv: Naukova Dumka, 544.

Guseynov, Sh. E., Yunusov, S. M. (2011). New regularizing approach to determining the influence coefficient matrix for gas-turbine engines. in Dynamical Systems, Differential Equations and Applications. Vol. I. American Institute of Mathematical Sciences (AIMS), 614–623.

ASTM Standard D6200-97: Standard Test Method for Determination of Cooling Characteristics of Quench Oils by Cooling Curve Analysis (2001). Annual Book of ASTM Standards, ASTM International, West Conshohocken, PA.

ASTM Standard D6482-99: Standard Test Method for Determination of Cooling Characteristics of Aqueous Polymer Quenchants with Agitation (Tensi Method) (2000). Annual Book of ASTM Standards, ASTM International, West Conshohocken, PA.

ASTM Standard D6549-00: Standard Test Method for Determination of Cooling Characteristics of Quenchants by Cooling Curve Analysis with Agitation (Drayton Unit) (2000). Annual Book of ASTM Standards, ASTM International, West Conshohocken, PA.

Hasan, H. S., Peet, M. J., Jalil, J. M., Bhadeshia, H. K. D. H. (2011). Heat Transfer Coefficients during Quenching of Steels. Available at: https://www.phase-trans.msm.cam.ac.uk/2011/transfer_Hasan_2011.pdf

Dowling, W., Pattok, T., Ferguson, B. L., Shick, D., Gu, Y., Howes, M. (1996). Development of a carburizing and quenching simulation tool: program overview. Quenching and the Control of Distortion. Proceedings of the 2nd International Conference, Cleveland, US, 349–355.

Ferguson, B. L., Freborg, A. M., Li, Z. (2007). Improving Gear Performance by Intensive Quenching. Proceedings of the 24th ASM Heat Treating Conference, 156–162.

Ferguson, B. L., Freborg, A. M., Petrus, G. J., Collabresi, M. L. (2002). Predicting the Heat Treat Response of a Carburized Helical Gear. Gear Technology, 20–25.

Inoue, T., Arimoto, K. (1997). Development and implementation of cae system “hearts” for heat treatment simulation based on metallo-thermo-mechanics. Journal of Materials Engineering and Performance, 6 (1), 51–60. doi: 10.1007/s11665-997-0032-1

Kozdoba, L. A., Krukovskyi, P. G. (1982). Methods of Solving Inverse Heat Conduction Problems. Kyiv: Naukova Dumka.

Krukovskyi, P. G. (1998). Inverse Heat and Mass Transfer Problems (General Engineering Approach). Engineering Thermal-Science Institute. Kyiv.

Hernandez-Morales, B., Brimacombe, J. K., Hawbolt, E. B., Gupta, S. M. (1992). Determination of Quench Heat-Transfer Coefficients Using Inverse Techniques, Proceedings of Quenching and Distortion Control Conference. ASM International. Chicago, 155–164.

Beck, J. V., Osman, A. M. (1992). Analysis of Quenching and Heat Treating Processes Using Inverse Heat Transfer Method. Proceedings of Quenching and Distortion Control Conference. Chicago: ASM International, 147–154.

Vergara-Hernández, H. J., Hernández-Morales, B. (2009). A novel probe design to study wetting front kinematics during forced convective quenching. Experimental Thermal and Fluid Science, 33 (5), 797–807. doi: 10.1016/j.expthermflusci.2009.02.007

Video on use of Liscic/Petrofer probe in the practice. Available at: https://drive.google.com/file/d/1OG5QRPyTy7PW7Lu_2Mpgchn53xZ1ZEz8/view?usp=sharing

Simencio-Otero, R. L., Viscaino, J. M., Totten, G. E., Meekisho, L., Canale, L. C. F. (2017). Quenchant characterization using the Tensi probe. 29th Heat Treating Society Conference & Exposition. Columbus, OH, USA.




DOI: http://dx.doi.org/10.21303/2461-4262.2018.00646

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